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To solve the problem, we need to add the two fractions representing the portions of Brian's money he spent in the music shop and the clothes shop.

He spends:
- \( \frac{2}{5} \) of his money in the music shop.
- \( \frac{1}{3} \) of his money in the clothes shop.

### Step 1: Find a common denominator
The denominators are 5 and 3. The least common denominator (LCD) between 5 and 3 is 15.

### Step 2: Convert the fractions
We convert the fractions to have the common denominator of 15:
- \( \frac{2}{5} = \frac{2 \times 3}{5 \times 3} = \frac{6}{15} \)
- \( \frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15} \)

### Step 3: Add the fractions
Now that the fractions have the same denominator, we can add them:
\[
\frac{6}{15} + \frac{5}{15} = \frac{6 + 5}{15} = \frac{11}{15}
\]

### Final Answer:
Brian spends \( \frac{11}{15} \) of his money in total.

Would you like more details or have any questions?

Here are 5 related questions to expand on this:
1. How do you find the least common denominator (LCD) between two numbers?
2. How do you simplify a fraction to its lowest terms?
3. What if Brian spent \( \frac{3}{4} \) of his money instead of \( \frac{1}{3} \)? What would be the new total fraction?
4. How can you convert a mixed number to an improper fraction and back?
5. If Brian had spent 100% of his money, what would the fraction be, and how would it compare to \( \frac{11}{15} \)?

**Tip:** Always ensure the fractions have the same denominator before adding or subtracting them!

Brian spends 2/5 of his money in the music shop and 1/3 in the clothes shop. What fraction of his money does he spend in total? Give your answer in its simplest form.

Learn how to solve a fractions problem where Brian spends 2/5 of his money in one shop and 1/3 in another. This example covers finding the least common denominator and adding fractions. Suitable for Grades 5-7.

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